Analytical study on flow of two non-miscible laminar layers of Newtonian fluids in a curved channel with wall slippage by Jafar Hasnain, Nomana Abid

“…The analytical solutions of highly nonlinear mathematical equations are obtained using perturbation series by taking ε(=PrEc)≪1. …”
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Experimental Investigation and Load Capacity of Slender Cold-Formed Lipped Channel Sections with Holes in Compression by Xingyou Yao

“…The axial strength decreased maximum by 20.48% and 22.98% for the member with circular holes and rectangular holes, compared to a member without a web hole. Then, a nonlinear elastoplastic finite element model (FEM) was developed, and the analysis results showed good agreement with the test results. …”
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Digital Modeling of Cone-generated Enveloping Torus Worm by Zhi Liu, Hong Lu, Xin Kuang, Liang Xia

“…The solving algorithm for the complex nonlinear mathematical models is also designed based on the forming principle of the envelope surface， the instantaneous contact line and all meshing point cloud for the tooth profile are calculated， the distribution of contact line of worm tooth profile is also given. …”
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Harmonic Analysis of Large Grid-Connected PV Systems in Distribution Networks: A Saudi Case Study by Yahya M. Al-Sharif, Gamal M. Sowilam, Tamer A. Kawady

“…Moreover, power electronic devices and nonlinear loads that are used frequently in the industry may exaggerate the harmonic distortions as well. …”
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Simulation-Based Multiobjective Optimization of Open-Pit Mine Haulage System: A Modified-NBI Method and Meta Modeling Approach by Milad Abolghasemian, Armin Ghane Kanafi, Maryam Daneshmand-Mehr

“…The suitable meta-model to maximize the total extraction rate and minimize the transport time of the haulage, two modified functions of nonlinear regression have been determined. The accuracy of the models for selection has been done using PRESS and R2 statistics. …”
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Threshold Effect of Financial System on High-Quality Economic Development by Lu Shen, Guohua He

“…Empirically, this paper takes the panel data of 30 provinces, municipalities, and autonomous regions in China from 2005 to 2018 as samples, constructs the panel threshold model, and applies the financial system, economic development level, infrastructure, and industrial structure as threshold variables to study the nonlinear relationship between the financial system and high-quality economic development. …”
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One-Instant Flux Observer design for Three-Phase induction motor with reduced bound active load rejection speed controller by AKRAM HASHIM HAMEED, SHIBLY A. AL-SAMARRAIE, AMJAD JALEEL HUMAIDI

“…The speed controller is developed by combining the backstepping control with disturbance observers to estimate the unmatched load torque named quasi-sliding mode observer (QSMDO), and nonlinear disturbance observer (NLDO). Based on numerical simulations, the performance and efficacy of the proposed BFISMO have been assessed by conducting a comparison study to other observer techniques. …”
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Mathematical Analysis of Malaria Epidemic: Asymptotic Stability With Cost-Effectiveness Study by Sacrifice Nana-Kyere, Baba Seidu, Kwara Nantomah

“…With the ongoing vaccination programs for vector-borne diseases, the research proposes a nonlinear differential equation model for the malaria disease that provides public health with a shift from the classical understanding of nonpharmaceutical preventive malaria control to pharmaceutical measures of vaccines. …”
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Optimal Operation of Distributed Generations in Four-Wire Unbalanced Distribution Systems considering Different Models of Loads by Xiuling Jin, Zohre Moradi, Rohollah Rashidi

“…The problem formed in this study is nonlinear and is solved using sequential quadratic programming (SQP) by implementing it in the GAMS simulation environment. …”
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Stability, Bifurcation, and a Pair of Conserved Quantities in a Simple Epidemic System with Reinfection for the Spread of Diseases Caused by Coronaviruses by Jorge Fernando Camacho, Cruz Vargas-De-León

“…In this paper, we study a modified SIRI model without vital dynamics, based on a system of nonlinear ordinary differential equations, for epidemics that exhibit partial immunity after infection, reinfection, and disease-induced death. …”
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Study on the Creep Damage Characteristics of Shale under the Combined Action of Osmotic Pressure and Disturbance Load by Junguang Wang, Qingrong Yu, Bing Liang, Zhangqing Xuan

“…In order to study the nonlinear creep damage and fracture characteristics of deep rocks under the combined action of seepage water pressure and disturbance load, a self-developed rock perturbation creep test rig under the action of seepage water pressure was used, and shale was used as the rock sample. …”
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PiLiMoT: A Modified Combination of LoLiMoT and PLN Learning Algorithms for Local Linear Neurofuzzy Modeling by Atiye Sarabi-Jamab, Babak N. Araabi

“…Algorithms are compared through a case study of nonlinear function approximation. Obtained results demonstrate the advantages of combined modified method.…”
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Second harmonic Bessel-Gauss beam shaping with elliptic axicon aberrations by Tianhong Wang, Finn Buldt, Pascal Bassène, Saad Bin Ali Reza, Edwin Fohtung, Thomas A. Searles, Chiu Tai Law, Moussa N'Gom

“…The second harmonic (SH) of an axicon generated Bessel-Gauss beam is created through the nonlinear interaction of photons with a crystal, resulting in the energy doubling of the output photons. …”
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Agreement of Immunoassay and Tandem Mass Spectrometry in the Analysis of Cortisol and Free T4: Interpretation and Implications for Clinicians by Rochelle E. Tractenberg, Jacqueline Jonklaas, Steven J. Soldin

“…Agreement between the methods is inconsistent over time, is nonlinear, and varies with the analyte and concentrations. …”
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Numerical and analytical investigation of Jeffrey nanofluid convective flow in magnetic field by FEM and AGM by Mohammad ِDehghan Afifi, Ali Jahangiri, Mohammad Ameri

“…Non-linear equations for energy, momentum and concentration are converted into dimensionless nonlinear equations by using appropriate variables. …”
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The Impact of Gross Regional Product Per Capita on the Processes of Convergence between Different Regions of the Country by Mayya Dubovik, Sergey Dmitriev, Madina Aitkazina

“…The speed of convergence was calculated using both ordinary least squares and nonlinear least squares methods, revealing that eliminating a 50% gap in GRP per capita among Russian regions would take approximately 902 and 821 years, respectively. …”
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Designing a Scenario-Based Fuzzy Model for Sustainable Closed-Loop Supply Chain Network considering Statistical Reliability: A New Hybrid Metaheuristic Algorithm by Peyman Bahrampour, Seyyed Esmaeil Najafi, Farhad Hosseinzadeh lotfi, Ahmad Edalatpanah

“…In this study, a new nonlinear mathematical programming model of mixed integer was presented to formulate the problem of designing a sustainable closed loop supply chain, in which the three aspects of sustainability, i.e., social effect such as job creation, customer satisfaction, and distributors, environmental effects such as reducing air pollution, and economic effects such as reducing supply chain costs, increasing supply chain reliability, quality of returned products by customers, and product routing were considered. …”
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The Reduced-Order Model for Droplet Drift of Aerial Spraying under Random Lateral Wind by Wencheng Li, Wenyun Wang, Xiaomao Huang, Chenyang Li

“…Based on the input and output dataset of CFD, the recursive algorithm including nonlinear autoregressive exogenous model and surrogate-based recurrence framework and the deep learning method for time-series prediction called long short-term memory neural network are used to build the efficient reduced-order model, respectively. …”
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Stability Assessment of Concrete Gravity Dams via Multifidelity Surrogate Models by Rodrigo José de Almeida Torres Filho, Rocio L. Segura, Patrick Paultre

“…To illustrate this, the seismic behavior of a gravity dam is assessed by means of a HF nonlinear finite element model that considers geometric, material, and seismic uncertainties. …”
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Enhanced crayfish optimization algorithm: Orthogonal refracted opposition-based learning for robotic arm trajectory planning. by Yuefeng Leng, Chunlai Cui, Zhichao Jiang

“…The proposed ECOA incorporates multiple novel strategies, including using a tent chaotic map for population initialization to enhance diversity and replacing the traditional step size adjustment with a nonlinear perturbation factor to improve global search capability. …”
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